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Finding the Fourth Proportional to 20,513.92, 30,758.57 and 8,019.05

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Solution

The fourth proportional to 20,513.92, 30,758.57 and 8,019.05 is: 12,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.92 : 30,758.57 = 8,019.05 : x
  2. Step 2: Convert to fraction form
    20,513.92/30,758.57 = 8,019.05/x
  3. Step 3: Cross multiply
    20,513.92x = 30,758.57 × 8,019.05
  4. Step 4: Simplify right side
    20,513.92x = 246,654,553.79
  5. Step 5: Solve for x
    x = 246,654,553.79/20,513.92
  6. Step 6: Final answer
    x = 12,023.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.